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        <div align="center"><big> <b><big><br>
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        <div align="center"><big><b><big>Welcome to the 2022 Spring
                talks of ODTU-Bilkent Algebraic Geometry Seminars</big></b></big><b><br>
          </b><b> </b><b> </b></div>
        <b> </b>
        <div align="center"><i>since 2000</i><br>
          <b> </b> </div>
        <div align="center"><b> </b><b> </b><b><b>=================================================================</b>
          </b><br>
          <b> </b><br>
          This week the <a
            href="http://www.bilkent.edu.tr/%7Esertoz/agseminar.htm"
            target="_blank" moz-do-not-send="true">ODTU-Bilkent
            Algebraic Geometry Seminar</a>  is <b>Online.</b>    <br>
          <br>
          <i><font color="#ff00ff">This talk will begin at <u><b>15:40</b></u><u>
                (GMT+3)</u></font></i><br>
          <br>
          <b>=================================================================</b></div>
        <div align="center"><br>
          <br>
          <div align="center"><b><img
                src="cid:part1.HZEPDJq2.mm9ogVpZ@bilkent.edu.tr" alt=""
                class="" width="400" height="299"> </b><font size="-1"><i>
              </i></font></div>
          Georgi Petrov<br>
          Return to the past<br>
          <font size="2"><i>(from the artist's homepage)</i></font><br>
          <div align="left"> <b><b><font color="#ff0000">Speaker:<font
                    color="#000000"> Alexander Degtyarev<br>
                  </font></font></b></b></div>
          <div align="left"><b><b><font color="#ff0000">Affiliation:<font
                    color="#000000"> Bilkent</font><br>
                  Title:<font color="#000000"> Towards 800 conics on a
                    smooth quartic surfaces<br>
                     </font><br>
                </font></b></b></div>
        </div>
        <div align="left"><b><b><font color="#ff0000">Abstract:</font></b></b><font
            color="#ff0000"><font color="#000000"> This will be a
              technical talk where I will discuss a few computational
              aspects of my work in progress towards the following
              conjecture.<br>
              <br>
              Conjecture: A smooth quartic surface in P3 may contain at
              most 800 conics.<br>
              <br>
              I will suggest and compare several arithmetical reductions
              of the problem. Then, for the chosen one, I will discuss a
              few preliminary combinatorial bounds and some techniques
              used to handle the few cases where those bounds are not
              sufficient.<br>
              <br>
              At the moment, I am quite confident that the conjecture
              holds. However, I am trying to find all smooth quartics
              containing 720 or more conics, in the hope to find the
              real quartic maximizing the number of  real lines and to
              settle yet another conjecture (recall that we count all
              conics, both irreducible and reducible).<br>
              <br>
              Conjecture: If a smooth quartic X⊂P3 contains more than
              720 conics, then X has no lines; in particular, all conics
              are irreducible.<br>
              <br>
              Currently, similar bounds are known only for sextic
              K3-surfaces in P4.<br>
              <br>
              As a by-product, I have found a few examples of large
              configurations of conics that are not Barth--Bauer, i.e.,
              do not contain<br>
              a 16-tuple of pairwise disjoint conics or, equivalently,
              are not Kummer surfaces with all 16 Kummer divisors
              conics.<i><br>
              </i><i> </i><br>
            </font></font></div>
        <div align="left"><font color="#ff0000"><font color="#000000"><b><font
                  color="#ff0000">Date:<font color="#000000"> 11 March
                    2022</font></font></b>, Friday</font></font><br>
        </div>
        <div align="left"><font color="#ff0000"><font color="#000000"><b>
                <font color="#ff0000">Time: </font>15:40 <i>(GMT+3)</i></b><br>
              <b><font color="#ff0000">Place: </font></b><font
                color="#ff0000"><font color="#000000"><b>Zoom<br>
                  </b></font></font></font></font></div>
        <div align="left"><font color="#ff0000"><font color="#000000"><font
                color="#ff0000"><font color="#000000"><b><br>
                  </b></font></font></font></font></div>
        <blockquote>
          <p><font color="#ff0000"><font color="#000000"><font
                  color="#ff0000"><font color="#000000"><b><b
style="color:rgb(51,51,51);font-family:arial,verdana,sans-serif;font-size:14px">One
                        day before the seminar, an announcement with the
                        Zoom meeting link will be sent to those who
                        registered with Sertöz. <br>
                      </b></b></font></font></font></font></p>
          <p><font color="#ff0000"><font color="#000000"><font
                  color="#ff0000"><font color="#000000"><b><b
style="color:rgb(51,51,51);font-family:arial,verdana,sans-serif;font-size:14px">If
                        you have registered before for one of the
                        previous talks, there is no need to register
                        again; you will automatically receive a link for
                        this talk too.<br>
                      </b></b></font></font></font></font></p>
          <p><font color="#ff0000"><font color="#000000"><font
                  color="#ff0000"><font color="#000000"><b><b
style="color:rgb(51,51,51);font-family:arial,verdana,sans-serif;font-size:14px">If
                        you have not registered before, please contact
                        him at <a
href="mailto:sertoz@bilkent.edu.tr?subject=Zoom%20Seminar%20Address%20Request"
                          moz-do-not-send="true">sertoz@bilkent.edu.tr</a>.</b></b></font></font></font></font></p>
        </blockquote>
        <p><font color="#ff0000"><font color="#000000"><font
                color="#ff0000"><font color="#000000"><b> </b></font></font></font></font></p>
        <div align="left"><br>
        </div>
        <div align="left">Please bring your own tea and cookies and 
          self-serve at the convenience of your own home! 😁<span
            class="gmail-moz-smiley-s1"></span></div>
        <div align="left"><br>
        </div>
        <div align="left">You are most cordially invited to attend.</div>
        <div align="left"><br>
        </div>
        <div align="left">Ali Sinan Sertöz<br>
          <font color="#ff0000"><font color="#000000"><b><font
                  color="#ff0000"> </font></b></font></font></div>
        <pre class="gmail-moz-signature" cols="72">---------------------------------------------------------------------------- 
Ali Sinan Sertöz
Bilkent University, Department of Mathematics, 06800 Ankara, Turkey
Office: (90)-(312) - 290 1490
Department: (90)-(312) - 266 4377
Fax: (90)-(312) - 290 1797
e-mail: <a class="gmail-moz-txt-link-abbreviated moz-txt-link-freetext" href="mailto:sertoz@bilkent.edu.tr" moz-do-not-send="true">sertoz@bilkent.edu.tr</a> 
Web: <a href="http://sertoz.bilkent.edu.tr" moz-do-not-send="true">sertoz.bilkent.edu.tr</a> 
----------------------------------------------------------------------------</pre>
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